Solve the following graphically. If necessary, round answers to the nearest thousandth.
-$$x ^ { 2 } + 6 x + 3 = e ^ { x - 1 } + 2$$
A) $\{ - 5.85 , - 0.1 \}$
B) $\{ - 5.85 , - 0.12 \}$
C) $\{ - 5.03 \}$
D) $\{ - 5.83 , - 0.11 \}$

Question

Quizplus · Accepted Answer

To solve the equation graphically, plot the two functions $y = x^2 + 6x + 3$ and $y = e^{x-1} + 2$ and find their points of intersection. The points of intersection give the solutions to the equation. The correct solutions, rounded to the nearest thousandth, are approximately $-5.83$ and $-0.11$, which corresponds to choice D.

Solve the Following Graphically x2+6x+3=ex−1+2x ^ { 2 } + 6 x + 3 = e ^ { x - 1 } + 2x2+6x+3=ex−1+2

Solve the Following Graphically $x ^ { 2 } + 6 x + 3 = e ^ { x - 1 } + 2$